The Chrome team has been focused a long time on making the whole Web Platform as a whole better, not just Chrome.
As for Flappy Bird, I have a little bit higher aspirations than that for the Web. Besides, crappy junk apps have appeared on the Web countless times and took off. Zynga ended up IPOing with Farmville, about as soulless a "game" as you could make, essentially a Skinner Box. Then there was the umpteen Facebook Web apps that blew up briefly and had their 15 minutes of fame. Remember Vampire biting? SuperPoke? Should we really be holding these up as examples? Tom Perkins, who I think is a real douche bag, at least had the courage to point out Silicon Valley is optimizing the environment for short term, useless, fly-by-night applications.
The App Stores are running to the same saturation point of the Web, with the market price of apps being driven to the marginal cost, which is zero. That's why Freemium is now a standard. We hear of the tiny sliver of lottery winners and Horatio Alger, like CSR, Clash of Clans, Hay Day, etc, but the vast vast majority of apps don't make any money at all, even from in-game purchases.
Yes, having one-click payment in the browser itself would be conducive, but I don't really think it will change the dynamics of people preferring free content.